It depends on how you set up your billing and subscription management. If you're locked into stripes subscription management, this isn't really possible (which is one of the reasons why Stripe built this :))
Otherwise, you can pin certain accounts to specific payment processors.
Or even better if you're dealing with larger enterprise subscriptions, or even smaller subscriptions, move to ACH/Wire/Invoice model with yearly billing. Saves money on credit card fees and moves away from middlemen that can hold your money hostage.
I'm hopeful about FedNow as a strong competitor to these middlemen and enabling instant, easy, low-fee payments.[1]